TY - GEN
T1 - A thorough study of interrelationship in fuzzy implication axioms
AU - Shi, Yun
AU - Van Gasse, Bart
AU - Ruan, Da
AU - Kerre, Etienne
A2 - Kabak, Özgür
N1 - Score = 3
PY - 2009/11
Y1 - 2009/11
N2 - A fuzzy implication is an extension of the classical binary implication in fuzzy
logic that plays an important role in the approximate reasoning process and
in decision making applications. It should satisfy different potential axioms,
among which eight axioms are most important. Different authors have investigated
the dependence and independence of the eight axioms but the investigation is yet
not complete. We study a complete interrelationship of all the eight axioms, and
give for each independence case a counter-example.
AB - A fuzzy implication is an extension of the classical binary implication in fuzzy
logic that plays an important role in the approximate reasoning process and
in decision making applications. It should satisfy different potential axioms,
among which eight axioms are most important. Different authors have investigated
the dependence and independence of the eight axioms but the investigation is yet
not complete. We study a complete interrelationship of all the eight axioms, and
give for each independence case a counter-example.
KW - Fuzzy implications
KW - Fuzzy implication axioms
KW - Approximate reasoning
UR - http://ecm.sckcen.be/OTCS/llisapi.dll/open/ezp_101594
UR - http://ecm.sckcen.be/OTCS/llisapi.dll/open/ezp_101594_2
UR - http://ecm.sckcen.be/OTCS/llisapi.dll/open/ezp_101594_3
UR - http://knowledgecentre.sckcen.be/so2/bibref/6303
U2 - 10.1142/9789814295062_0008
DO - 10.1142/9789814295062_0008
M3 - In-proceedings paper
SN - 978-981-4295-05-5
VL - 1
T3 - Computer Engineering and Information Science
SP - 52
EP - 57
BT - Intelligent Decision Making Systems
CY - Singapore, Singapore
T2 - The 4th Int. ISKE Conference on Intelligent Decision Making Systems
Y2 - 27 November 2009 through 28 November 2009
ER -